Stability of general virus dynamics models with both cellular and viral infections

We consider two general models for the virus dynamics with virus-to-target and infected-to-target infections. We assume that the virus-target and infected-target incidences, the production and clearance rates of all compartments are modeled by general nonlinear functions which satisfy a set of reasonable conditions. We incorporate the latently infected cells in the second model. For each model we prove the existence of the equilibria and calculate the basic reproduction number R0. We use suitable Lyapunov functions and apply LaSalle’s invariance principle to prove the global asymptotic stability of the all equilibria of the models. We confirm the theoretical results by numerical simulations.